Question

use the elimination method to solve the system of equations choose the correct ordered pair x-y=2 2x+3y =14
A.(4,2)
B.(5,3)
C.(6,4)
D.(3,1)

Answer 1

it's A (4,2)............

Answer 2

Answer:

Option A is correct

Step-by-step explanation:

Given two equations

$x-y=2....(1)$

$2x+3y =14...(2)$

we have to solve the above equations using elimination method.

Multiplying (1) equation by 2, we get

$2x-2y=4....(3)$

Subtract equation (3) from (2), we get

$3y-(-2y)=14-4$

$5y=10$

Dividing by 5, we get

$y=\frac{10}{5}=2$

(1) implies x-y=2

$x-2=2$

$x=2+2=4$

hence, the solution is (4,2)

Option A is correct.